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Finding the Third Proportional to 30,318.75 and 62,140.50

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Solution

The third proportional to 30,318.75 and 62,140.50 is: 127,361.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,318.75 : 62,140.50 = 62,140.50 : x
  2. Step 2: Convert to fraction form
    30,318.75/62,140.50 = 62,140.50/x
  3. Step 3: Cross multiply
    30,318.75x = 62,140.50 × 62,140.50
  4. Step 4: Simplify right side
    30,318.75x = 3,861,441,740.25
  5. Step 5: Solve for x
    x = 3,861,441,740.25/30,318.75
  6. Step 6: Final answer
    x = 127,361.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.